#include <fstream>
#include <vector>
#include <list>
#include <map>

using namespace std;

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

int main()
{
    int n,m;
    vector<map<int,int>> A;
    vector<bool> v;
    fin>>n>>m;
    A.resize(n);
    v.resize(n);
    while(m--)
    {
        int a,b,c;
        fin>>a>>b>>c;
        A[a-1].emplace(b-1,c);
    }
    multimap<int,int> d;
    d.emplace(0,0);
    v[0]=true;
    while(d.size())
    {
        int c=d.begin()->second;
        d.erase(d.begin());
        for(map<int,int>::iterator i=A[c].begin();i!=A[c].end();i++)
        {
            int key=i->first;
            if(A[0][key]==0||A[0][c]+A[c][key]<=A[0][key])
            {
                map<int,int>::iterator aux=d.find(A[0][key]);
                A[0][key]=A[0][c]+A[c][key];
                if(v[key]==false)
                {
                    d.emplace(A[0][key],key);
                    v[key]=true;
                }
                else
                {
                    while(aux->second!=key) aux++;
                    d.erase(aux);
                    d.emplace(A[0][key],key);
                }
            }
        }
    }
    for(int i=1;i<n;i++) fout<<A[0][i]<<" ";
    return 0;
}